Answer is x= 3, x = -3
Step by step
Given
5x^2 + 41 = 86
Subtract 41 from both sides to isolate exponent
5x^2 + 41 - 41 = 86 - 41
Simplify
5x^2 = 45
Divide both sides by 5
5/5 x^2 = 45/5
x^2 = 9
Take square root of both sides
√x^2 = +- √9
x = + - 3
x = 3, x = -3